Contents for Secondary Mathematics Series 1 - 4 (Equivalent to 7-10th grade)

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New Elementary Mathematics 1 (Equivalent to 7th grade)1. Whole Numbers

2. Fractions, Decimals and Approximation

System of Numeration The Four Operations Factors and Multiples Prime Numbers and Prime Factorisation Highest Common Factor Least Common Factor Number Patterns Variables Basic Number Laws 3. Arithmetic Problems

Fractions Addition and Subtraction of Fractions Multiplication and Division of Fractions Decimals Approximation Conversion Between Fractions and Decimals Estimation 4. Real Numbers

Units of Measure Simple Word Problems Multi-Step Word Problems Estimation in Daily Life Situations 5. Simple Algebraic Expressions

Negative Numbers Addition and Subtraction of Integers Multiplication of Integers Division of Integers Real Numbers Order of Calculation Mental Calculation 6. Open Sentences And Equations

Algebraic Expressions Evaluation of Algebraic Expressions Algebraic Terms Use of Brackets Collecting Like Terms 7. Rate, Ratio And Percentage

Open Sentences Equations Equations with Fractional and Decimals Coefficients Evaluation of Formulae Algebraic Problems 8. Solving Problems Involving Financial Transactions

Rate and Speed Ratio Direct and Inverse Proportions Percentage Applications of Percentages 9. Introducing Geometry

Earnings, Profit and Loss, Commissions and Discounts Interest and Hire Purchase Taxation and Money Exchange 10. Polygons

Line Segment, Line and Angles Angle Properties Related to Straight Lines Perpendicular and Parallel Lines Angle Properties Related to Parallel Lines 11. Symmetries And Nets Of Solid Figures

Triangles Angle Properties of a Triangle Isosceles and Equilateral Triangles Angle Properties of a Polygon Quadrilaterals Properties of Quadrilaterals 12. Area And Perimeter

Line Symmetry Rotational Symmetry Patterns Symmetries of Solid Figures Nets of Solid Figures 13. Volume and Surface Area of Prism and Cylinder

Perimeter and area of Polygon Circumference and Area of Circle More Problems on Area and Perimeter 14. Similarity And Congruence

Cylinder Density More Problems on Volume and Surface Area

Similar and Congruent Figures Designs and Tessellations Scale Drawing

New Elementary Mathematics 2 (Equivalent to 8th grade)1. Indices

2. Algebraic Manipulations

Positive Integral Indices Zero and Negative Integral Indices Indices Involving Variables Standard Form 3. Literal And Quadratic Equations

Special Algebraic Rules for Calculations Expanding Products Factorisation Addition and Subtraction of Algebraic Fractions Multiplication and Division of Algebraic Fractions Fractional Equations Problems Involving Fractional Equations 4. Word Problems

Literal Equations Transformation of Formulae Quadratic Equations Quadratic Factorisation Solving Quadratic Equations by Factorisation Solving Quadratic Equations by Factorisation Word Problems Leading to Quadratic Equations 5. Graphs I

Problems on Rate, Ratio and Percentage Problems Involving Financial Transactions 6. Simultaneous Linear Equations

The Coordinate Plane Graphs of Linear Equations in Two Variables Simple Applications of Straight Line Graphs Travel Guide Solving Simultaneous Linear Equations by Graphs Quadratic Graphs 7. Inequalities

Simple Elimination Method Elimination Method Substitution Method Word Problems Using Simultaneous Equations 8. Congruent and Similar Triangles

Sets of Numbers on the Number Line Properties of Order Solving Inequalities 9. Mensuration

Congruent Triangles Similar Triangles 10. Pythagoras' Theorem and Trigonometry

Sectors Cones and Pyramids Sphere Areas of Similar Figures Volumes of Similar Solids 11. Motion Geometry

Pythagoras' Theorem Indirect Measure Trigonometrical Ratios Trigonometrical Ratios by Using a Calculator Solution of Right-angled Triangles Applications of Trigonometrical Ratios to Simple Problems 12. Statistics I

Reflection Rotation Translation Enlargement Combination of Transformations 13. Statistics II

Collection and Presentation of Data Reading and Drawing of Bar Graphs Reading and Drawing of Pie Charts Reading and Drawing of Line Graphs and Pictograms 14. More Algebraic Manipulations

Frequency Distribution Mean, Mode and Median of Frequency Distributions Types of Averages

Addition and Subtraction of Polynomials Multiplication of Polynomials Division of Polynomials (Optional) Algebraic Fractions and Fractional Equations Algebraic Manipulation Manipulation of Expressions

New Elem Mathematics (Equiv. to 9th Grade) 3A (Chp 1-7) and 3B (Chp 8-14)1. Computation and Manipulation

2. Equations

Indices Evaluation of Algebraic Expressions Algebraic Fractions 3. Inequalities

Equations and Formulae Quadratic Equations Solving Equations by Formula Problems Leading to Quadratic Equation 4. Coordinate Geometry

Solving Inequalities Problems Involving Inequalities Approximation 5. Functions and Variations

Length and Midpoint of a Line Segment Gradient of a Straight Line Equation of a Straight Line 6. Graphs

Functions Graphs of a Function Inverse Functions Direct and Inverse Variation 7. Trigonometry and Bearings

Gradient of a Graph Solving Simultaneous Equations by Graphs More Problems on Graphs 8. Symmetry Properties of a Circle

Trigonometrical ratios of an Obtuse Angle Cosine Rule Sine Rule Bearings Trigonometrical Problems Involving Bearings Trigonometrical Problems in Three Dimension 9. Angle Properties of a Circle

Useful Geometrical Properties Symmetry Properties of a Circle 10. Sets

Angle Properties of a Circle More Angle Properties of a Circle 11. More About Sets

The Idea of a Set Intersection and Union of Sets 12. Rate of Change and Area

The Universal Set Using Venn Diagrams to Solve Problems 13.Transformations

Rate of Change Areas under Graphs 14. Statistics

Reflection Rotation Translation Enlargement Shear Stretching Combination of Transformation

Presenting Grouped Data Calculation of the Mean Histogram for Grouped Data Cumulative Frequency Percentiles, Quartiles and the Interquartile Range More Problems on Cumulative Frequency 1. Loci

New Elem Mathematics(Equiv. to 10th grade) 4A(Chp 1-4) and 4B (Chp 5)2. Equations

Locus as a Set of Points Geometrical Properties Related to Loci 3. Transformations

Vectors as Directed Line Segments Position Vectors and Column Vectors More Vector Problems 4. Probability

Reflection, Rotation and Translation Enlargement, Shear and Stretch Combination of Transformations 5. Revision (4B is an overall review of New Elementary Math from 1A through 4A)

Meaning of Probability More About Probability Combined Events

Arithmetic Algebra Geometry Mensuration Trigonometry and bearings Loci Vectors Graphs Transformations Statistics and Probability Assessment Paper Set A Assessment Paper Set B Assessment Paper Set C